On New Inequalities for h-convex Functions via Riemann-Liouville Fractional Integration

TL;DR

This paper introduces new Hermite-Hadamard type inequalities for h-convex functions using Riemann-Liouville fractional integrals, expanding the theoretical framework of fractional calculus and convex analysis.

Contribution

It presents novel inequalities for h-convex functions involving fractional integrals, enhancing existing mathematical tools in fractional calculus.

Findings

Derived new Hermite-Hadamard inequalities for h-convex functions

Extended fractional integral inequalities to broader classes of functions

Provided theoretical foundations for future research in fractional inequalities

Abstract

In this paper, some new inequalities of the Hermite-Hadamard type for h-convex functions via Riemann-Liouville fractional integral are given.